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Finding the Third Proportional to 131,449 and 196,949

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Solution

The third proportional to 131,449 and 196,949 is: 295,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,449 : 196,949 = 196,949 : x
  2. Step 2: Convert to fraction form
    131,449/196,949 = 196,949/x
  3. Step 3: Cross multiply
    131,449x = 196,949 × 196,949
  4. Step 4: Simplify right side
    131,449x = 38,788,908,601
  5. Step 5: Solve for x
    x = 38,788,908,601/131,449
  6. Step 6: Final answer
    x = 295,087.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.